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andrew-mc [135]
3 years ago
13

Factor 15 + 50. 5(10 + 3) 5(3 + 10) 3(5 + 25) 10(5 + 5)

Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

So we have the expression:

15+50

Since 5 goes into both 15 and 50, we can factor out a 5. First, rewrite the numbers as:

5(3)+5(10)

Factor out the 5:

=5(3+10)

So, our answer is B

And we're done!

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2 years ago
Two dice are rolled. Use the complement rule to find that the probability that the sum of the dice is less than 10.
Katarina [22]

Answer:

\dfrac{5}{6}

Step-by-step explanation:

When two dice are rolled, the sample space is

\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6)\end{array}

In total, 36 outcomes

First, find the probability that the sum is 10 or greater:

All favorable outcomes

10: (4,6),\ (5,5),\ (6,4)

11: (5,6),\ (6,5)

12: (6,6)

In total, 6 outcomes.

The probability that the sum is 10 or greater is

P(A)=\dfrac{6}{36}=\dfrac{1}{6}

Use the complement rule to find that the probability that the sum of the dice is less than 10:

P(A^C)=1-P(A)=1-\dfrac{1}{6}=\dfrac{5}{6}

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In June, Cory begins to save money for a video game and a TV he wants to buy in December.
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Let the set T = {all factors of 72 less then 36, but greater than or equal to 12}. List set T and all it’s subsets.
romanna [79]

T={12,18,24}

Subsets:

  1. {}
  2. {12}
  3. {18}
  4. {24}
  5. {12, 18}
  6. {18, 24}
  7. {12, 24}
  8. {12, 18, 24}
4 0
2 years ago
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